Fitting ideals and the Gorenstein property

Details Fitting ideals and the Gorenstein property Fitting ideals and the Gorenstein property

2009-02-18

arxiv.org/abs/0902.3204v2

Mathematics

Commutative Algebra

9 pages

Scientific paper

Let p be a prime number and G be a finite commutative group such that p^{2}
does not divide the order of G. In this note we prove that for every finite
module M over the group ring Z_{p}[G], the inequality #M \leq
#Z_{p}[G]/Fit_{Z_{p}[G]}(M) holds. Here, Fit_{Z_{p}[G]}(M) is the
Z_{p}[G]-Fitting ideal of M.

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